If α and β are distinct roots of a cos θ+b sin θ=c, Prove that sin – InterviewSolution

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1.	If α and β are distinct roots of a cos θ+b sin θ=c, Prove that sin(α+β)=2aba2+b2. or Prove that cos 20∘ cos40∘ cos60∘ cos80∘=116
Answer» If $α$ and $β$ are distinct roots of $a c o s θ + b s i n θ = c$ , Prove that $s i n (α + β) = \frac{2 a b}{a^{2} + b^{2}}$ . or Prove that $c o s 20^{\circ} c o s 40^{\circ} c o s 60^{\circ} c o s 80^{\circ} = \frac{1}{16}$

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